Pre-Calculus homework

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1.

(a) Which of these graphs represents a function? Answer(s): ____________

(b) Which of these graphs represents a one-to-one function? Answer(s): ____________

(c) Which of these graphs represents an even function? Answer(s): ____________

2. Convert to a logarithmic equation: 3x = 243. 3. ______

A.

B.

C.

D.

3. Laura is a salesperson who must decide between two monthly income options.

Option A: Salary of $1030 per month, plus 12% of monthly sales (in dollars)

or Option B: Salary of $1882 per month, plus 8% of monthly sales (in dollars)

(a) State a linear function f (x) that represents the Option A total income, given monthly sales of x dollars.

(b) State a linear function g(x) that represents the Option B total income, given monthly sales of x dollars.

(c) Laura wants to determine the following:

For what amount of monthly sales is Option A the better choice rather than Option B?

To answer the question, should you solve the inequality f (x) g(x) or the inequality f (x) g(x) ?

Write the appropriate inequality, show how to solve it, and state your answer to the question in a sentence.

4. Let f (x) = x2 – 8x + 9 and g(x) = 3x + 5

(a) Find the composite function and simplify the results.

(b) Find .